{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[4 3 5 ..., 2 3 6]\n"
     ]
    }
   ],
   "source": [
    "import random\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "def dice():\n",
    "    number=  [1,2,3,4,5,6]\n",
    "    return random.choice(number)\n",
    " \n",
    "series = np.array([dice() for x in range(10000)])\n",
    "print series\n",
    "from math import factorial"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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gBAAAAMBQghMAAAAAQwlOAAAAAAwlOAEAAAAwlOAEAAAAwFCCEwAAAABDCU4AAAAADCU4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\nJEmSJElSp/4GZuC9GNWuBlIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109d98910>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (20,10))\n",
    "plt.hist(series,bins = 11,align = 'mid')\n",
    "plt.xlabel('Dice Number')\n",
    "plt.ylabel('Occurences')\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.4956\n",
      "3.5103\n"
     ]
    }
   ],
   "source": [
    "print len([x for x in series if x <= 3])/float(len(series))\n",
    "print np.mean(series)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.4956\n",
      "3.5103\n"
     ]
    }
   ],
   "source": [
    "print len([x for x in series if x <= 3])/float(len(series))\n",
    "print np.mean(series)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def trial():\n",
    "    number = [1,2,3,4,5,6,7,8,9,10]\n",
    "    a = random.choice(number)\n",
    "    if a<= 7:\n",
    "        return 1\n",
    "    else:\n",
    "        return 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "7\n"
     ]
    }
   ],
   "source": [
    "res = [trial() for x in range(10)]\n",
    "print sum(res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.2367\n"
     ]
    }
   ],
   "source": [
    "def binomial(number):\n",
    "    l = []\n",
    "    for i in range(10000):\n",
    "        res = [trial() for x in range(10)]\n",
    "        l.append(sum(res))\n",
    "    return len([x for x in l if x == number])/float(len(l))\n",
    " \n",
    "print binomial(8)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1     0.0002\n",
      "2     0.0013\n",
      "3     0.0087\n",
      "4     0.0373\n",
      "5     0.1041\n",
      "6     0.2000\n",
      "7     0.2674\n",
      "8     0.2342\n",
      "9     0.1153\n",
      "10    0.0283\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "prob = []\n",
    "for i in range(1,11):\n",
    "    prob.append(binomial(i))\n",
    "prob_s = pd.Series(prob,index = range(1,11))\n",
    "print prob_s"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.266827932\n",
      "0.2334744405\n"
     ]
    }
   ],
   "source": [
    "print (float(factorial(10))/(factorial(7)*factorial(10-7)))*(0.7**7)*(0.3**3)\n",
    "print (float(factorial(10))/(factorial(8)*factorial(10-8)))*(0.7**8)*(0.3**2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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1fjrJoU37Did5b3dfl+S9i212AbEIdqHu/p3u/uDi8R9l/Q37VcudCna/qro6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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109eca950>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (20,10))\n",
    "plt.bar(range(1,11),prob)\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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prSOyuPS7nZIpJbXWhRiXAwAgS1AyAQCAtNYZiaqiJF8N5UV+R8FttNSFdO7G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\n13EAAIiJmJVMZuaX9ENJ10iaKel2M5t5ymYfl9T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      "text/plain": [
       "<matplotlib.figure.Figure at 0x109e0d350>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "norm = pd.Series(np.random.normal(0,1,100000))\n",
    "type(norm)\n",
    "plt.figure(figsize = (20,10))\n",
    "norm.plot.density()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "import quandl\n",
    "spy_table = quandl.get('LSE/SPY5')\n",
    "spy = spy_table.loc['2009':'2017',['Last Close']]\n",
    "spy['log_return'] = np.log(spy['Last Close']).diff()\n",
    "spy = spy.dropna()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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64YlDlcvkFVD5MyL6sddfGvubM2mkTGqX6j8N13JYML/FaMoA6AZwJlVgdnlA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\nog3rkmFu3OGZ1nlmKZP6Xvq7yN+7vIG1fNyrX3eJcHab2G2iLeIDWs+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piRpVNkrbEd5f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\njmbm9JdR9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fXktZ5uZVZBOmJ4dGg+0bshvpsqYxLpEmTE6PZzFErZNZKH6M20m7hk6zR2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\nn77jERxdtnIW7UYayM9o+0Ezk+4HsJP9vaP8LrqNMSYDMAPg8Jj7VppDq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8I2+zQ3U/5T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JNE9cBweGG3uTG/k5ds50sPfCuJ9gXQJ8IkoNecdACw6ar2v7DFcIHqoqrNqEw63Lq++qPl\n8hNb+dLXv5lEuAd9IkwCVuLYuEHlpceHcz3f3noAGJn0nGnZG38scjW3ncbba/ruvlPPpPV86UfO\nyRPb+X/jMAnoDz2TgJV43uOuyavuvjkvefqjFvtBTvQA2HCDqp3t33vvH/09TxXvzja3NV1nd4O2\nNX2BPSJMgn4SJgErMRxU/s6zHzP38xUmAcBIVXKmjaqTprORC1GZtK7bybeG539d6/nKj56Tl2zl\n9JnFLswCLJ9tbkCvOeUAYNNVat/t34ML8MZ8Xd/bb3XoJ7UbbPgI62I6eWJ71UMA5iBMAnqpaZoE\nACM1usppS9tT2TGpTJonVJo8Z123uU16Jh12aNb0pR85Jy/ZDZMcc+gPYRLQa8qhAdh0g8q+xTML\nbXMbv0tY121uw3VNyXro5IndzitO66A/hElArznnAGDTVSpnWhv1TJq6f7fv0ex2nrumC+2kZ9Lh\n29yWM5ZNt7cyyUGHvtCAG+ilyS43J3oAe73tJbfnxqsuXfUwWKKq7NszaZErlu1cCW5NF9qtDsdG\nsLEceiZBPwmTgF7a7xLIACTP/VNXr3oILNlkl1ub3BgbdmgyfeDPXKCqqQ8mPZNYvT2VSev6Hw7W\nkN+iQK855wBg0w1qtM3tbMMFtqpNnruumUuXflKT77nmx8V18pKpnkkrHAcwmzVdHoB158QOAMYm\n29za3q1Zi2xze9TDH5If/+6b8+ybH3GhRnmkdOmZxHJMb3NTmQT9YZsb0Gvr2ssBALo6aCUcDGru\nN+dVlR++8zFzj+mo23I1tyNjepsb0B8qk4BeUpkEACODQaW1lpa2Jzwalsqbgwwn+/cOa8Dt4C3F\npceG2c32HHToC2ES0GtOOQDYdJXkzAFXc1PBu78ulUmO3XJUVS4fb3VzyKE/hElAL016HRzfHq54\nJACwWlWVlpbW9n7IMigXtz/IsEPPJMdueSZNuB1z6A89k4Beev4Trs0nPv/l/O1nPXrVQwGAlars\nv/17uEDPpHW33eFqbizPqAn311c9DGAGwiSgl7aGg7zq7ltWPQwAWLlRZVLSsjccGQwqapP2t9Mz\n6RCTY6lN48V3cmebm/+v0Be2uQEAQI9VJW2f0qRh6cB9kEnPpMPCNkHc8tjmBv0jTAIAgB6bbHNr\nre0JQIaDSoc+0xtpp2eS43MkTCqTgP4QJgEAQI+NKpPOvX/UgFtasp/tTldzW8JASJKcvMTV3KBv\nhEkAANBjg8nV3LL3zfiWBtwHmvRM6nI1t/22EHJh7fZMWvFAgM6ESQAA0GOV5Mx+lUkDdUkH2eqy\nzc3BW5rdnkkOOvSFMAkAAHqsqsY9k/bmH8OBq2MdZKiZ1JGiZxL0jzAJAAB6ru1zAfthqfM4yLar\nuR0pk55JDjn0x9aqBwAAAMxvMEh2sqSpSqQnXf/QfO5LD6xkTEfdpGfSYeGFoq7lOTUOk4YOOvSG\nMAkAAHqsUjmzT5PoF9x2XV5w23UrGNHRN+mZxNHwndc/NK9+/q15yrc/bNVDAToSJgEAQI9VTRUm\nrXQk/THc2eZ2sJ2ruV300bA1HORld9y46mEAM9AzCQAAemxQte/V3DjY1iRMOmRbleblAAcTJgEA\nQI9VkjPjNEn+0c3WDFdzc0gBziVMAgCAHtsaVr55+syqh9Erw+HobVCXoEjRF8C5hEkAANBjx7YG\neXAcJrmcfTddKpMcSYCDCZMAAKDHtoeDPPgtlUmz2O2ZtOKBAPSUMAkAAHrs2FSYJBzpZmsoTAJY\nhDAJAAB6bHqbG90MB93fBjVNkwDOIUwCAIAe21OZtOKx9MXONjdHDGAuwiQAAOixY1t6Js1KzySA\nxQiTAACgx7aHg3xDz6SZTHomHcaxBDiYMAkAAHpMz6TZzdIzCYBz+S0KAAA9Nr3NrZTTdLK7zc3x\nApiHMAkAAHpsugE33UzCpC6ay7kBnEOYBAAAPWab2+wmPZMOi5Rc6Q3gYMIkAADose1h5fQZ1TOz\nmPRMOmyXW4tjCnAQYRIAAPTYseFw1UPonVm2uQFwLmESAAD02LGt3VN6/aS72R6OjtngkAM2HAdO\nD7/s+FLGBNAnW6seAAAAML/toQRpVo95xGV5xV2PzTNvuvLAx1x+Yjv/9IVPyB03XbXEkQH0gzAJ\nAAB67Ph0ZZKm0Z0MB5W/+5ybzvu4F//p65cwGoD+sc0NAAB6bLJlCwCWxcoDAAA9pmcSAMsmTAIA\ngB6bDpMAYBmsPAAA0GPT29wUJgGwDMIkAADoMZVJACyblQcAAHrs2FDPJACWS5gEAAA9pjIJgGWz\n8gAAQI/tqUzSNQmAJRAmAQBAj0034AaAZbDyAABAj01vc9MzCYBlECYBAECPHVOZBMCSWXkAAKDH\nNOAGYNmsPAAA0GPCJACWzcoDAAA9tj3cbZRUmiYBsATCJAAA6DGVSQAsm5UHAAB6bHswdTW3FY4D\ngM0hTAIAgB4bDGrPVjcAuNiESQAA0HPHhqPTei2TAFgGYRIAAPTctr5JACyRVQcAAHpupzJpxeMA\nYDMIkwAAoOe2h07rAVgeqw4AAPTc8a1JzyS1SQBcfMIkAADouWN6JgGwRFYdAADouW1XcwNgiYRJ\nAADQcyqTAFgmqw4AAPScq7kBsEzCJAAA6LltlUkALJFVBwAAem5SmaRpEgDLIEwCAICeO7YlRAJg\neYRJAADQc3omAbBMwiQAAOg5V3MDYJmsOgAA0HPbk8okpUkALIEwCQAAek5lEgDLZNUBAICe2+2Z\npDQJgItPmAQAAD2nMgmAZVpo1amqh1XV+6vqk+O/rzjgcS8dP+aTVfXSfb7/nqr6H4uMBQAANtUx\nPZMAWKJFP8L4B0k+0Fq7KckHxrf3qKqHJXlNkqcmeUqS10yHTlX1l5J8ZcFxAADAxtpWmQTAEi26\n6vzFJO8cf/3OJN+zz2PuTvL+1toXWmtfTPL+JN+dJFV1WZJXJHn9guMAAICNtdszCQAuvkXDpKtb\na58df/25JFfv85hHJvm/U7f/YHxfkrwuyRuSfO18/1BV/WBV3VtV9953330LDBkAANaLyiQAlmnr\nfA+oqv+a5Jp9vvWPp2+01lpVta7/cFU9KcmjW2s/WlU3nO/xrbV7ktyTJLfffnvnfwcAANbdcT2T\nAFii84ZJrbXnHvS9qvp8VV3bWvtsVV2b5I/2edhnktw5dfu6JL+Z5OlJbq+qT4/H8Yiq+s3W2p0B\nAAA6czU3AJZp0VXnPUkmV2d7aZJf2+cx70vyvKq6Ytx4+3lJ3tdae0tr7dtaazckeWaSTwiSAABg\ndttDYRIAy7PoqvPTSe6qqk8mee74dqrq9qp6W5K01r6QUW+kj4z//JPxfQAAwAUwqUwqLbgBWILz\nbnM7TGvtj5M8Z5/7703ysqnbb0/y9kN+zqeTPH6RsQAAwKbaHgqRAFge9bAAANBzOz2TZEoALIEw\nCQAAeu64BtwALJFVBwAAem7SgFthEgDLIEwCAICeO6YyCYAlsuoAAEDP7VQmldokAC4+YRIAAPTc\ntadO5AmPPJVbrrl81UMBYANsrXoAAADAYh5ybCv/4eXPXPUwANgQKpMAAAAA6EyYBAAAAEBnwiQA\nAAAAOhMmAQAAANCZMAkAAACAzoRJAAAAAHQmTAIAAACgM2ESAAAAAJ0JkwAAAADoTJgEAAAAQGfC\nJAAAAAA6EyYBAAAA0JkwCQAAAIDOhEkAAAAAdCZMAgAAAKAzYRIAAAAAnQmTAAAAAOhMmAQAAABA\nZ8IkAAAAADoTJgEAAADQWbXWVj2GmVXVfUn+96rHwca7Msn9qx4E9Jg5BPMzf2Ax5hAsxhxaX49q\nrV11vgf1MkyCo6Cq7m2t3b7qcUBfmUMwP/MHFmMOwWLMIWxzAwAAAKAzYRIAAAAAnQmTYH73rHoA\n0HPmEMzP/IHFmEOwGHNow+mZBAAAAEBnKpMAAAAA6EyYBAAAAEBnwiQAAAAAOhMmwSGqarjqMUCf\nVdWp8d/WG5hRVV0z/rtWPRboo6p6XFWdWPU4oK+q6hlV9ehVj4Ojyck97KOqbq+qdyX5Sb9AYTZV\nNaiqk1X13iRvSpLW2pkVDwt6o6puq6oPJHldkjRXS4GZVNUTq+pDSV6f5OGrHg/0TVV9Z1X9lyS/\nkeTUqsfD0SRMginjN8FvTvLWJB9Icm2S11bVQ1Y7MuiPcXD05STbSR5ZVS9OVCfB+dTIv0zyC0ne\n2Vr7W6seE/TUq5P8u9baC1prn0lU+EEXVbVdVW9Nck9GHwi+L8md4+85j2MP/yFgyvhN8G8keU5r\n7R1J/lmSluRbqxwX9NAtSe5P8jNJ/mpVXd5aO+NkHg42rkC6LMl/b639QpJU1aOdwEM34w8Fb0zy\nldbaz4zvu6uqHppkOL5tHYKDHU/ywSR3tNbem+RXk9xaVVuqzDmbkxM2XlU9raoeO7ndWvv3rbU/\nqaq7ktybUXXST1XVrSsbJBxh03No6iT995M8mORT4z8vrarrbdeBvc5eg5K8MslTq+onqurDSf55\nkndU1ZNXM0I42qbn0PjN7v1J7qiq51fVu5P8WEYVFq8aP8Y6BFPOWoe+2lr7pdba18e3t5Kcbq19\nywcbnM1/CDZWVT20qv5jkvcn+b6qunR8/+TN8BeTfH9r7a4kX83ozfDVqxktHD37zaGpk/Tbk3yp\ntfbxJB9P8pokbxmXT1t72HgHrUGttS8l+bkkL0ryD5P8lSSfTfLCqrpqVeOFo+Y8c+jnM+o59vbW\n2t1J3pbkaVX1tJUNGI6Yg87jxluuJ+dqH0zygqq6QmUSZ3NCzya7NKN9wC8ff/1dye4nVq21e1tr\nvz5+7H9KcluSr61gnHBU7TuHxv5Pksur6t8m+fEkv5PkE621bzoZgSSHzJ/W2puS3Nla+63W2jeS\nvDujgNYaBLsOW4Pem+SGJFeMb9+b5PNJvrHE8cFRd+B7oXFrgkGST48f86xVDZKjS5jERqmql1TV\ns6rq5Lgh4z1JfiXJAxltK/i2A5765Iw+GdY7iY02wxy6IslVST6XURD7Q0lutl2UTTbLGtRa++LU\nU5+c5A+SnF7qgOGI6TCHHpkkrbXfy2hb249U1ZVJ/lqSxyf54xUNHY6ErutQVdX4w7/j46c+MLl/\nFePmaCrbhll341961yT5pSRnkvyvjNL3v9dau3/8mGck+b4kH2mt/eL4vpNJnprkpzJ6Q/zK1ton\nlv8KYLVmnEP3ttbeNb7vyqnvX5bkWGvtCyt4CbAyC6xBx5M8Pcm/yOjDDGsQG2neNWh8/yuS3Jjk\npiQ/2lr7n0sePqzcAuvQsLV2uqp+Mcnvt9Zeu4rxc3SpTGKtjX8JtiSXJ/lMa+05GVVIfCGjJD5J\n0lr7cEZlnLdU1amqOjHec9+SvL619hecxLOJ5phDN4/n0KWttfuralhVg9baVwRJbJoF1qBLxtvb\nHow1iA22wBp0+fj+N2YUIt0tSGITLbAOPaS1NqmG/RuCJPajMom1VFXDjBovDpP8epKTSV7UWnvp\n+PuDJH+Y5MWttQ+O77ssyeuTPCPJ9Ulua6394QqGDyu34Bz6M0keFXOIDWUNgsVYg2Ax5hDLoDKJ\ntVNVz8qo2e8VGV2e/HVJvpnk2VX1lGTn0rGvHf+ZeH6SH07y0SRP8MuTTXUB5tDHYg6xoaxBsBhr\nECzGHGJZtlY9ALgIziR5w1TfltuSfHuSn0zyliRPHqfx707yZ6vqhtbapzNqLPfc1tpvrWbYcGSY\nQzA/8wcWYw7BYswhlkJlEuvod5L8yri8M0k+nOT61to7kgyr6uXjNP66JKfHvzzTWvs1vzwhiTkE\nizB/YDHmECzGHGIphEmsndba11pr35hqGndXkvvGX//1JLdW1XuT/HKS301c5hKmmUMwP/MHFmMO\nwWLMIZbFNjfW1jiNb0muTvKe8d1fTvKPkjw+yadaa59JkqYTPZzDHIL5mT+wGHMIFmMOcbGpTGKd\nnUmyneT+JE8cJ/A/keRMa+1Dk1+ewIHMIZif+QOLMYdgMeYQF1UJIVlnVfW0JL89/vPzrbV/s+Ih\nQa+YQzA/8wcWYw7BYswhLiZhEmutqq5L8gNJ3tha+8aqxwN9Yw7B/MwfWIw5BIsxh7iYhEkAAAAA\ndKZnEgAAAACdCZMAAAAA6EyYBAAAAEBnwiQAAAAAOhMmAQAAANCZMAkAYEZVdbqqPlpVH6+qj1XV\nK6vq0POqqrqhqr5/WWMEALhYhEkAALP7emvtSa21xyW5K8mfS/Ka8zznhiTCJACg96q1tuoxAAD0\nSlV9pbV22dTtG5N8JMmVSR6V5F1JLh1/+0daa79dVf8tya1JPpXknUnelOSnk9yZ5HiSn2utvXVp\nLwIAYE7CJACAGZ0dJo3v+5MkNyf5cpIzrbUHquqmJL/cWru9qu5M8mOttT8/fvwPJnlEa+31VXU8\nyYeTfG9r7VNLfTEAADPaWvUAAADWzHaSN1fVk5KcTvLYAx73vCRPrKoXjW+fSnJTRpVLAABHljAJ\nAGBB421up5P8UUa9kz6f5Dsy6k/5wEFPS/Ly1tr7ljJIAIALRANuAIAFVNVVSf51kje3Uf+AU0k+\n21o7k+QHkgzHD/1yksunnvq+JD9UVdvjn/PYqro0AABHnMokAIDZXVJVH81oS9u3Mmq4/cbx9/5V\nkl+tqpck+c9Jvjq+//eSnK6qjyV5R5KfzegKb79bVZXkviTfs6wXAAAwLw24AQAAAOjMNjcAAAAA\nOhMmAQAAANCZMAkAAACAzoRJAAAAAHQmTAIAAACgM2ESAAAAAJ0JkwAAAADo7P8DxWx78MTGzmsA\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113aa8750>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (20,10))\n",
    "spy.log_return.plot()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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SWkuUR4kb1wCAeimPAADeoKqq7fKoBY6tJcmDJ4aURwBAbZRHAABvsLiykfWNrdaZPDox\nmKvL65m/sV53FACgAymPAADeYHZpNUky0Srl0cT20uwXTR8BADVQHgEAvMHs0lqSZHK4VY6tNcoj\nN64BADVQHgEAvMHO5NHkSGtMHp09NpCukrxyRXkEABw85REAwBvMLu5MHrVGeXSkuyunxvrz8tUb\ndUcBADqQ8ggA4A1ml9bSf6Q7Q709dUd5zf3HB/LyFeURAHDwlEcAAG8wu7SWyZHelFLqjvKa+44N\n5BWTRwBADZRHAABvMLu42jJH1nbcd2wwV5fXs7R6s+4oAECHUR4BALzB3NJay9y0tuP+4wNJYvoI\nADhwyiMAgDe4vLjaMjet7bjvWKM8svcIADhgyiMAgNdZXtvI8vpmy00e3deYPHLjGgBw0JRHAACv\nM7u0liQtt/NopO9IxgeOOLYGABw45REAwOvMLq4mScsdW0uS+44POrYGABw45REAwOt8Z/KotY6t\nJcn9xwby8tXlumMAAB1GeQQA8Dqtemwt2V6afXF+NTc3t+qOAgB0EOURAMDrzC6t5mh3V8YGjtQd\n5bvcd3wgm1tVLs6v1B0FAOggyiMAgNeZW1zLxHBvSil1R/ku9x9r3Lhm7xEAcICURwAArzO7tF0e\ntaL7jw8mSV524xoAcICURwAArzO7tNqS+46S7T1MR3u68soVS7MBgIOjPAIAeJ3ZpbVMjrRmedTV\nVXLfsYG8YvIIADhAyiMAgIa1jc3M37iZyeG+uqPc1v3HBuw8AgAOlPIIAKBhbmktSVr22FqyfePa\nK1dvpKqquqMAAB1CeQQA0DC7Ux616LG1JLnv2EBurG/m1evrdUcBADqE8ggAoGF2cWfyqIWPrR0f\nSJK8ctXSbADgYCiPAAAa5pZWk7T4sbVjg0liaTYAcGCURwAADZcX19JVkuNDrVsenRnvTxJLswGA\nA6M8AgBomF1azfGh3nR3lbqj3Fbfke5MDvfmwrWVuqMAAB1CeQQA0DC7tNbSR9Z2nBnvz3nlEQBw\nQJRHAAANs4vtUh4N5MK88ggAOBjKIwCAhu3Jo9a9aW3HmfH+XJxfyeZWVXcUAKADKI8AAJJsbG7l\nyvJaJkdaf/Lo9Hh/NraqXF5crTsKANABlEcAAEmuLK+nqtI2x9aSOLoGABwI5REAQLb3HSXJRJsc\nW0uS89du1JwEAOgEyiMAgCSzS9tHwE62w7G1sUZ5dNXkEQDQfMojAIBsL8tOksmR1p886jvSnRND\nvTl/TXkEADSf8ggAIK87tjbU+pNHyfbRNTuPAICDoDwCAMj2sbXxgSM52tMeH4/OjPfbeQQAHIj2\n+HQEANBks0trmWiDm9Z2nBkfyIX5lWxtVXVHAQAOOeURAECSuaW1TLbBTWs7zoz35+Zm9dquJgCA\nZlEeAQBkpzxqn8mj0+PbN65dmHd0DQBoLuURANDxqqrKXJsdWzvbKI/cuAYANFtPM1+8lPJSkqUk\nm0k2qqp6opRyLMkvJXkgyUtJfrqqqmvNzAEA8GYWVzayvrnVVuXR6bGBJMojAKD5DmLy6ENVVb27\nqqonGt//XJJPV1X1aJJPN74HAKjN3PXVJGmr8qj/aHdODB114xoA0HR1HFv7ySQfb3z98SQ/VUMG\nAIDX7CydbqfyKElOj/WbPAIAmq7Z5VGV5JOllC+WUj7WeOxkVVWXGl/PJDl5q18spXyslPJkKeXJ\nubm5JscEADrZXKM8aqeF2UlyZnwgF5RHAECTNbs8+sNVVb03yR9N8rOllP/k9T+sqqrKdsH0Xaqq\n+oWqqp6oquqJiYmJJscEADrZTnk0MdRXc5K7c2a8P+fnV7K1dcuPUwAA+6Kp5VFVVRcaf84m+bUk\n709yuZQynSSNP2ebmQEA4E7mltZytKcrI/1NvUtk350Z78/6xlZevb5WdxQA4BBrWnlUShkspQzv\nfJ3kR5J8I8lvJPlo42kfTfKJZmUAANiNuaW1TAz1ppRSd5S7cnq8P0lyft7RNQCgeZr5z2snk/xa\n40NYT5J/VlXVvymlfCHJvyyl/EySl5P8dBMzAADc0ezSWtsty062dx4lyflrK3nvfeM1pwEADqum\nlUdVVb2Y5F23ePxKkg83630BAO7W3NJa7js+UHeMu3Z6rDF5dO1GzUkAgMOs2QuzAQBa3tz19pw8\nGuztydjAkVx0bA0AaCLlEQDQ0W5ubuXq8nom27A8SpJTo/25OL9adwwA4BBTHgEAHW3nprJ2nDxK\nklNjfSaPAICmUh4BAB1tbqlRHg21a3nUrzwCAJpKeQQAdLTXyqM2nTyaHu3P4upGltc26o4CABxS\nyiMAoKPtlEeTI301J9mbU2PbuS8tmD4CAJpDeQQAdLTZRnl0YuhozUn25tRYf5LkgqXZAECTKI8A\ngI42t7SW0f4j6e3prjvKnkyPNiaP7D0CAJpEeQQAdLS5pbW23XeUJCdH+tJVYmk2ANA0yiMAoKPN\nXV/LZBuXR0e6uzI53JeLC46tAQDNoTwCADra7NJqW08eJdtLs00eAQDNojwCADpWVVXbx9aG2rs8\nmh7rzyWTRwBAkyiPAICOdX1tI6s3t9p+8uj0WH8uzq+kqqq6owAAh5DyCADoWHNLa0mSyZH2Lo+m\nR/uytrGVq8vrdUcBAA4h5REA0LFmG+XRxFBfzUnuzamx/iTJxXlH1wCA/ac8AgA61s7kUbsfWzs1\n2iiPFizNBgD2n/IIAOhYh6U8mh7bnpxy4xoA0AzKIwCgY81dX8uR7pKx/iN1R7knxweP5mhPlxvX\nAICmUB4BAB1rdnEtJ4Z609VV6o5yT0opOTXalwsmjwCAJlAeAQAda+76WtsfWdtxaqw/l5RHAEAT\nKI8AgI41t7SWiaHDUR5Nj/Y7tgYANIXyCADoWHNLa5kcORzl0emxvlxeXM3G5lbdUQCAQ0Z5BAB0\npI3NrVxZPkSTR2P92aqSy40b5AAA9ovyCADoSFeX11NVOVQ7j5Lkor1HAMA+Ux4BAB1ptjGhc2jK\no9G+JMojAGD/KY8AgI40d32nPOqrOcn+mH5t8sjSbABgfymPAICONLe4XR5NHpLJo6Henoz09eTS\ngskjAGB/KY8AgI60M3l04pAszE6S6dH+XFoweQQA7C/lEQDQkeaW1jLc25P+o911R9k3J0f7cnlR\neQQA7C/lEQDQkeaW1jIxcnimjpJkeqTP5BEAsO+URwBAR5pdWs3EITqyliRTo3159fpabm5u1R0F\nADhElEcAQEeaW1rLxCFZlr1jerQvVZXMLq3VHQUAOESURwBARzqM5dHJ0b4kyYwb1wCAfaQ8AgA6\nzvLaRpbXNzM53Fd3lH013SiP7D0CAPaT8ggA6DhzjWNdh23yaHqkP0kyozwCAPaR8ggA6Dhz1w9n\neTTS35O+I13KIwBgXymPAICO89rk0SG7ba2UkunR/lxaVB4BAPtHeQQAdJyd8mhy5HCVR0kyNdJn\n8ggA2FfKIwCg48wuraa7q2R84GjdUfbd9KjyCADYX8ojAKDjzC2t5fjg0XR3lbqj7LuTo325vLia\nra2q7igAwCGhPAIAOs7c0tqhW5a9Y3q0LxtbVV5dXqs7CgBwSCiPAICOM3d9LZOHtDyaGulLklxe\nUB4BAPtDeQQAdJzZxcM8edSfJLm0sFJzEgDgsFAeAQAdZXOrypXl9UNbHp0c3f7/mlm0NBsA2B/K\nIwCgo1y7sZ7NrSoTQ4ezPDox2JueruLGNQBg3yiPAICOMre0vQtosrEb6LDp6io5OdKnPAIA9o3y\nCADoKLON8uiwHltLkqnRvlxSHgEA+0R5BAB0lJ3Jo8N6bC3ZLo8u23kEAOwT5REA0FHmOmDyaHpk\ne/Koqqq6owAAh4DyCADoKHNLaxk82p3B3p66ozTN1GhfVm5uZnFlo+4oAMAhoDwCADrK7NLqoZ46\nSrbLoyS5tLhScxIA4DBQHgEAHWVuaS0nDvG+oySZbpRHblwDAPaD8ggA6ChzS2s5OdJXd4ymmhrt\nT6I8AgD2h/IIAOgolxdXMzlyuCePJod7U0pySXkEAOwD5REA0DGur21keX0zk8OHe/LoSHdXTgz1\n5vKi8ggAuHfKIwCgY8w2ypSTh3zyKNnee2TyCADYD8ojAKBjzC6tJcmhnzxKkqmRPjuPAIB9oTwC\nADrG5Q6aPJoa7cuMY2sAwD5QHgEAHWN2sTF5dMhvW0u2y6OFlZu5sb5RdxQAoM0pjwCAjjG7tJre\nnq6M9PXUHaXppke3CzJH1wCAe6U8AgA6xuXFtZwc6Usppe4oTXeyMV3l6BoAcK+URwBAx5hdWs3k\n8OHfd5Qk06P9SUweAQD3TnkEAHSM2cbkUSeYavx/XlIeAQD3SHkEAHSM2aW1THTI5FH/0e6MDRwx\neQQA3LOml0ellO5SypdLKb/V+P7BUsrnSinPl1J+qZRytNkZAACW1zZyfW2jYyaPku3pIzuPAIB7\ndRCTR38pybde9/3fSfL3q6p6JMm1JD9zABkAgA43u7SWJDk50hmTR0kyNdpn8ggAuGdNLY9KKWeS\n/PEk/6jxfUnyQ0l+pfGUjyf5qWZmAABIksuNCZzJ4c6ZPJoe7bPzCAC4Z82ePPpfk/wPSbYa3x9P\nMl9V1Ubj+/NJTt/qF0spHyulPFlKeXJubq7JMQGAw26nPOqkyaOTI325sryW9Y2tOz8ZAOA2mlYe\nlVJ+LMlsVVVf3MvvV1X1C1VVPVFV1RMTExP7nA4A6DRzjWNrnTZ5VFXJ7JLpIwBg73qa+NofTPIT\npZQ/lqQvyUiSf5BkrJTS05g+OpPkQhMzAAAk2Z486u3pykh/Mz/+tJap0f4kyczCas6MD9ScBgBo\nV02bPKqq6n+squpMVVUPJPlTSf5dVVV/NsnvJPmTjad9NMknmpUBAGDH7NJaTo70ZXsFY2eYHt2e\nsnLjGgBwLw7itrU3+utJ/mop5fls70D6xRoyAAAd5vLiaiaHO2ffUbK98yiJG9cAgHtyIHPbVVX9\nbpLfbXz9YpL3H8T7AgDsmF1ay1unRuqOcaBG+noycLTbjWsAwD2pY/IIAODAzS6uZaLDJo9KKZka\n7TN5BADcE+URAHDoLa9t5PraxmvHuDrJ9GifnUcAwD1RHgEAh97s0lqSdNzOo2R775HJIwDgXiiP\nAIBD73Jj8qZTJ48uL65ma6uqOwoA0KaURwDAobczeXRypPMmj6ZG+7OxVeXV5bW6owAAbUp5BAAc\nerONyaPJ4c6bPJpqTFs5ugYA7JXyCAA49GaX1tLb05WR/p66oxy46dHt8uiS8ggA2CPlEQBw6F1e\nXM3kSG9KKXVHOXBToyaPAIB7ozwCAA692cW1nOzAI2tJcmzgaI52d2VmUXkEAOyN8ggAOPR2Jo86\nUVdXyeRIr8kjAGDPlEcAwKFWVVVmFlczNdJfd5TaTI/25dLCSt0xAIA2pTwCAA61xdWN3FjffG1x\ndCeaGu03eQQA7JnyCAA41C43dv1MdXB5ND3al5nF1VRVVXcUAKANKY8AgENt54r6Ti6PTo70ZfXm\nVhZWbtYdBQBoQ8ojAOBQm2ns+pka6dzyaOfI3iVH1wCAPVAeAQCH2szCWpLt6ZtOtTN1Ze8RALAX\nyiMA4FCbWVzJiaHeHO3p3I89O5NHM4vKIwDg7nXupygAoCNcWljN1Ghv3TFqNTHUm67i2BoAsDfK\nIwDgUJtZWM3USH/dMWrV092VieHe1/Y/AQDcDeURAHCozSyuvnZsq5NNjfabPAIA9kR5BAAcWqs3\nNzN/4+ZrC6M72fRIXy7beQQA7IHyCAA4tHZuF5vq4JvWdkyN9pk8AgD2ZFflUSnlX5VS/ngpRdkE\nALSNnbLEsbXt8mhpdSPX1zbqjgIAtJndlkH/e5I/k+S5UsrPl1Iea2ImAIB9MbO4vSD6pPLotQJt\nxvQRAHCXdlUeVVX121VV/dkk703yUpLfLqX8XinlL5RSjjQzIADAXs0srCVxbC35zt+BvUcAwN3a\n9TG0UsrxJP9Fkv8qyZeT/INsl0mfakoyAIB7NLOwkpG+ngz29tQdpXY7S8PtPQIA7tauPkmVUn4t\nyWNJ/kmSH6+q6lLjR79USnmyWeEAAO7FpYVVN601nBzZOba2UnMSAKDd7Paf4f7Pqqr+9esfKKX0\nVlW1VlVm4Lw4AAAgAElEQVTVE03IBQBwzy4vrmZqtL/uGC2h70h3jg0eNXkEANy13R5b+59v8djv\n72cQAID9dmlhNdP2Hb1maqTPziMA4K696eRRKWUqyekk/aWU9yQpjR+NJBlocjYAgD27ubmVuetr\nblp7nanRPpNHAMBdu9OxtR/N9pLsM0n+3useX0ryN5qUCQDgns0traWqvnNFPdvl0VfPzdcdAwBo\nM29aHlVV9fEkHy+l/Imqqn71gDIBANyznQkbC7O/Y3qkL1eW17O2sZnenu664wAAbeJOx9b+XFVV\n/2+SB0opf/WNP6+q6u/d4tcAAGo3s1Me2Xn0mp0ibXZxLWeP2UAAAOzOnY6tDTb+HGp2EACA/TTT\nWAzt2Np37JRHlxZWlUcAwK7d6djaP2z8+bcPJg4AwP6YWVhJ35GujPYfqTtKy5h+rTxaqTkJANBO\nunbzpFLK3y2ljJRSjpRSPl1KmSul/LlmhwMA2KtLC6uZHu1PKeXOT+4QU6P9Sb5zpA8AYDd2VR4l\n+ZGqqhaT/FiSl5I8kuS/b1YoAIB7dXlxNSdHeuuO0VKGensy3Nvz2pE+AIDd2G15tHO87Y8n+eWq\nqhaalAcAYF9cWli1LPsWTo72mTwCAO7KnRZm7/itUsrTSVaS/LellIkkPnUAAC1pc6vKzMJqTo/3\n1x2l5UyP9uWS8ggAuAu7mjyqqurnknwgyRNVVd1MspzkJ5sZDABgr+aW1rKxVeXUmPLojaZGTB4B\nAHdnt5NHSfJ4kgdKKa//nf9nn/MAANyzC/Pbt4kpj77b9Ghf5q6vZWNzKz3du91gAAB0sl2VR6WU\nf5Lk4SRfSbLZeLiK8ggAaEEXG+XRaeXRdzk52pfNrSqvXl/P1KidUADAne128uiJJG+rqqpqZhgA\ngP2wM3k0rRz5Ljt/J5cWVpRHAMCu7HZW+RtJppoZBABgv1ycX8lIX0+G+47UHaXlTI1sT2PZewQA\n7NZuJ49OJPlmKeXzSdZ2Hqyq6ieakgoA4B5cnF/J6fGBumO0pJ3Jo5lF5REAsDu7LY/+VjNDAADs\npwvzqzk95kjWrYwNHMnRni6TRwDAru3q2FpVVZ9J8lKSI42vv5DkS03MBQCwZxfnV9y0dhullEyP\n9uWS8ggA2KVdlUellP86ya8k+YeNh04n+fVmhQIA2KvraxtZWLmpPHoTUyN9ubSwUncMAKBN7HZh\n9s8m+WCSxSSpquq5JJPNCgUAsFeXGjetKY9u7/RYfy7OmzwCAHZnt+XRWlVV6zvflFJ6klTNiQQA\nsHfnG+WRnUe3d2qsPzOLq9nc8nEOALiz3ZZHnyml/I0k/aWUjyT55SS/2bxYAAB7c9Hk0R1Nj/Vl\nc6vK7JLpIwDgznZbHv1ckrkkX0/y3yT510n+p2aFAgDYq4vzK+npKpkcNnl0OzvFmqNrAMBu9Ozm\nSVVVbZVSfj3Jr1dVNdfkTAAAe3ZxfjVTo33p7ip1R2lZp18rj1byvfeP15wGAGh1bzp5VLb9rVLK\nq0meSfJMKWWulPI3DyYeAMDduTC/4sjaHUyPbk9l7RzxAwB4M3c6tvZXsn3L2vuqqjpWVdWxJH8o\nyQdLKX+l6ekAAO7ShWsrOTXqyNqbGe47kuG+HuURALArdyqP/nySP11V1bd3Hqiq6sUkfy7Jf97M\nYAAAd2tjcyszi6s5Mz5Qd5SWd3qsPxcX7DwCAO7sTuXRkaqqXn3jg429R0eaEwkAYG8uLWxfP3/2\nmGNrd3JqrN/kEQCwK3cqj9b3+DMAgAN37tqNJMlZk0d3ND3apzwCAHblTretvauUsniLx0sSywQA\ngJZy/up2GeLY2p2dGuvPtRs3s7K+mf6j3XXHAQBa2JuWR1VV+SQBALSNc9dupKsk02P+jetOTjdu\npLu4sJKHJ4ZqTgMAtLI7HVsDAGgb56+tZHq0P0e6fcS5k1M75ZGjawDAHfhkBQAcGueu3siZccuy\nd2N6dHs6S3kEANyJ8ggAODTOXbuRs8fsO9qNqdG+lJJcmF+tOwoA0OKaVh6VUvpKKZ8vpXy1lPJU\nKeVvNx5/sJTyuVLK86WUXyqlHG1WBgCgc6ze3MzlxTU3re3Ske6unBzuyyWTRwDAHTRz8mgtyQ9V\nVfWuJO9O8p+WUr4vyd9J8verqnokybUkP9PEDABAh9g5fuXY2u5Nj/Xl4oLyCAB4c00rj6pt1xvf\nHmn8VyX5oSS/0nj840l+qlkZAIDOce7adgni2NrunRrrz0XH1gCAO2jqzqNSSncp5StJZpN8KskL\nSearqtpoPOV8ktPNzAAAdIZzV28kSc4eM3m0W6fH+nNxfiVVVdUdBQBoYU0tj6qq2qyq6t1JziR5\nf5LHd/u7pZSPlVKeLKU8OTc317SMAMDhcP7aSo50l0wO99UdpW2cGu3L2sZWri6v1x0FAGhhB3Lb\nWlVV80l+J8n3JxkrpfQ0fnQmyYXb/M4vVFX1RFVVT0xMTBxETACgjZ27diOnx/rT3VXqjtI2pse2\np7QcXQMA3kwzb1ubKKWMNb7uT/KRJN/Kdon0JxtP+2iSTzQrAwDQOc5fvWHf0V063SiPLrhxDQB4\nE82cPJpO8jullK8l+UKST1VV9VtJ/nqSv1pKeT7J8SS/2MQMAECHOHdtxU1rd+lUozy65MY1AOBN\n9Nz5KXtTVdXXkrznFo+/mO39RwAA+2Jx9WauLq/n/uODdUdpK+MDR9Lb05WLJo8AgDdxIDuPAACa\n6ZUr2zet3e/Y2l0ppTRuXLPzCAC4PeURAND2XrqynCQmj/bg1Fh/zps8AgDehPIIAGh7L+9MHh03\neXS3zoz358K1G3XHAABamPIIAGh7L19ZzsRwbwZ7m7bO8dA6e2wgr15fz431jbqjAAAtSnkEALS9\nl67cyAOmjvZk54a689ccXQMAbk15BAC0vZevLNt3tEdnG0vGzzu6BgDchvIIAGhrK+ububy45qa1\nPdqZPDp31eQRAHBryiMAoK29crWxLPuEyaO9mBjqTd+Rrpy7avIIALg15REA0NZeurKcJHYe7VEp\nJWfGB3LOsTUA4DaURwBAW3u5UR7df8zk0V6dGe+3MBsAuC3lEQDQ1l66ciPjA0cyOnCk7iht6+z4\ngGNrAMBtKY8AgLbmprV7d/ZYfxZXN7KwcrPuKABAC1IeAQBt7eUrN3K/fUf35Oz49t+f6SMA4FaU\nRwBA21q9uZkL8ysmj+7RmUZ5ZO8RAHAryiMAoG29dGU5VZU8MjlUd5S2dvZYf5LkvBvXAIBbUB4B\nAG3rxbntm9YeOmHy6F6M9h/JcG+PY2sAwC0pjwCAtvXC7PUkyUMTyqN7UUrJ6fF+x9YAgFtSHgEA\nbeuFues5PdafgaM9dUdpe2ePDeScY2sAwC0ojwCAtvXiq8umjvbJ2fGBnLu6kqqq6o4CALQY5REA\n0JaqqsoLs9fz8IRl2fvh7LH+rNzczJXl9bqjAAAtRnkEALSly4trWV7fzMMmj/bFmfGBJLH3CAD4\nLsojAKAtvTi3syzb5NF+OHusP0ncuAYAfBflEQDQll5olEeOre2PnckjS7MBgDdSHgEAbemFueUM\nHu3OyZHeuqMcCkO9PRkfOJJzVx1bAwD+IOURANCWXpi7nocmhlJKqTvKoXH22EDOmzwCAN5AeQQA\ntKUX55Yty95nZ48N5BU7jwCAN1AeAQBtZ3ltIxfmV+w72mcPHB/I+Wsrubm5VXcUAKCFKI8AgLbz\n3Oz2suy3TA3XnORwuf/4YDa3qly4Zu8RAPAdyiMAoO08O7OUJHnspPJoPz14YvsY4EtXlmtOAgC0\nEuURANB2nrm8lL4jXTl7bKDuKIfK/ce3/z5felV5BAB8h/IIAGg7z15eyqOTw+nuctPafpoY6s3g\n0e68dMXSbADgO5RHAEDbeWZmKW9xZG3flVJy//HBvOzYGgDwOsojAKCtXFtez+zSWh6bctNaMzx4\nYtDkEQDwByiPAIC28uzl7WXZJo+a4/7jAzl39UY2NrfqjgIAtAjlEQDQVnbKo8emlEfN8MCJwWxs\nVbkwv1J3FACgRSiPAIC28szlpQz39WRqpK/uKIfSA8cHk8TRNQDgNcojAKCtPDtzPY+dHE4pblpr\nhgdODCSJpdkAwGuURwBA26iqKs9cXspbHFlrmomh3gwe7c63X1UeAQDblEcAQNu4tLCahZWbeVx5\n1DSllNx/fDAvO7YGADQojwCAtvHUxcUkydtPjdSc5HB74MSAySMA4DXKIwCgbTx1cSGlJI9PKY+a\n6eGJobxy9UbWN7bqjgIAtADlEQDQNp66uJgHTwxmsLen7iiH2sMTQ9ncqizNBgCSKI8AgDbyzYuL\nefup0bpjHHoPTwwlSV6Yu15zEgCgFSiPAIC2cG15PRfmV+w7OgAPTQwmSV6YM3kEACiPAIA28c1L\nlmUflMHenpwa7cvzsyaPAADlEQDQJp66uJAkjq0dkIcnhxxbAwCSKI8AgDbx1MXFTI/25djg0bqj\ndISHJ4bywuz1VFVVdxQAoGbKIwCgLTx1cdGRtQP08ORQltc3M7O4WncUAKBmyiMAoOXdWN/Ii3PX\n8zZH1g7MwztLs2ctzQaATqc8AgBa3jcuLGarSt51Rnl0UB6ZGEoSe48AAOURAND6vnLuWpLkXWfH\nak7SOSaGezPc2+PGNQBAeQQAtL6vnlvImfH+nBjqrTtKxyiluHENAEiiPAIA2sBXzs3n3aaODtzD\nE0N5zuQRAHQ85REA0NJml1ZzYX5FeVSDx6eGM7e0lqvL63VHAQBqpDwCAFraV88tJInyqAaPTQ0n\nSZ6eWaw5CQBQJ+URANDSvnLuWnq6St5x2k1rB+3xRnn0zMxSzUkAgDopjwCAlvbVcwt5fHo4fUe6\n647ScSaGezM+cER5BAAdTnkEALSsra0qXz03n3edcWStDqWUPDY1nKeVRwDQ0ZRHAEDLen7uepbW\nNuw7qtHjUyN59vJStraquqMAADVRHgEALevz376aJHn/g8dqTtK5Hpsazo31zZy/tlJ3FACgJsoj\nAKBlPfnS1UwO9+a+YwN1R+lYj7txDQA6nvIIAGhZX3jpWt73wLGUUuqO0rHectKNawDQ6ZRHAEBL\nujC/kgvzK3nfA+N1R+log709ue/YQJ6+rDwCgE6lPAIAWtKTL23vO3qffUe1e2xqOE9fcmwNADpV\n08qjUsrZUsrvlFK+WUp5qpTylxqPHyulfKqU8lzjT/+cCAB8l89/+2qGe3vy+NRI3VE63lunR/Lt\nV5dzY32j7igAQA2aOXm0keSvVVX1tiTfl+RnSylvS/JzST5dVdWjST7d+B4A4A948qVree/94+nu\nsu+obu88PZqtKvmW6SMA6EhNK4+qqrpUVdWXGl8vJflWktNJfjLJxxtP+3iSn2pWBgCgPc3fWM8z\nl5fsO2oR7zw9miT5+vmFmpMAAHU4kJ1HpZQHkrwnyeeSnKyq6lLjRzNJTh5EBgCgffzHF68kSb7v\noeM1JyFJTo705sRQb75+weQRAHSippdHpZShJL+a5C9XVfUHPnFUVVUlqW7zex8rpTxZSnlybm6u\n2TEBgBby2eevZPBod951dqzuKCQppeSdp0fyjQsmjwCgEzW1PCqlHMl2cfRPq6r6V42HL5dSphs/\nn04ye6vfrarqF6qqeqKqqicmJiaaGRMAaDGffeHVvP/BYznS7WLYVvGO06N5bnYpK+ubdUcBAA5Y\nM29bK0l+Mcm3qqr6e6/70W8k+Wjj648m+USzMgAA7WdmYTUvzi3ng4+cqDsKr/OOxtLsb1qaDQAd\np5n/nPfBJH8+yQ+VUr7S+O+PJfn5JB8ppTyX5Icb3wMAJEk++/yrSZIPPKw8aiU7S7OfuujoGgB0\nmp5mvXBVVf8hye3u1v1ws94XAGhvn33h1RwbPJrHp4brjsLrTI/25fjgUTeuAUAHskgAAGgZVVXl\n956/ku9/+Hi6um73b1DUoZSSt58ezdctzQaAjqM8AgBaxgtzy5lZXM0HHj5edxRu4V1nRvPc7PXc\nWN+oOwoAcICURwBAy/jdZ7YvYf2Bt7hptRW9977xbG5V+eo500cA0EmURwBAy/jMs3N5ZHIoZ8YH\n6o7CLbznvrEkyZdeuVZzEgDgICmPAICWsLy2kc+9eDUfeszUUasaGziaRyaH8sWXlUcA0EmURwBA\nS/j9F65kfXMrP/jYZN1ReBPvvW8sX3rlWqqqqjsKAHBAlEcAQEv43WdnM3i0O088MF53FN7E994/\nnvkbN/Piq8t1RwEADojyCACoXVVV+Z2n5/KBR06kt6e77ji8ie+9f7vc+5KjawDQMZRHAEDtnp+9\nngvzK/lB+45a3kMnhjLS12NpNgB0EOURAFC7T37zcpLkw4+frDkJd9LVVfLe+8fzpZfn644CABwQ\n5REAULtPPjWTd50dy9RoX91R2IUn7h/PM5eXcm15ve4oAMABUB4BALW6tLCSr55fyI+8zdRRu/i+\nh44nST737Ss1JwEADoLyCACo1W83jqz96NuVR+3ie86Mpf9Id37/BeURAHQC5REAUKtPfvNyHjox\nmIcnhuqOwi4d7enKEw+M5/dfVB4BQCdQHgEAtVlYuZnff+FKPvL2kyml1B2Hu/D9Dx/Ps5ev59Xr\na3VHAQCaTHkEANTmt795ORtbVX707VN1R+EufX9j79F/NH0EAIee8ggAqM1vfu1iTo/15z1nx+qO\nwl165+nRDPX22HsEAB1AeQQA1OLa8nr+w3Ov5se+Z9qRtTbU092V99l7BAAdQXkEANTi3z41k42t\nKj/+rlN1R2GPPvDwibw4t5wL8yt1RwEAmkh5BADU4je/djEPHB/I20+N1B2FPfqBxyaSJP/+2bma\nkwAAzaQ8AgAO3NzSWn7/hSv5se855chaG3t0ciinRvvyu8/M1h0FAGgi5REAcOB+86sXs1UlP/Fu\nR9baWSklP/DYZD77/JWsb2zVHQcAaBLlEQBw4H71S+fzztOjecvJ4bqjcI9+8LGJXF/byBdfvlZ3\nFACgSZRHAMCBenpmMU9dXMyfeO/puqOwDz7w8PH0dJV8xt4jADi0lEcAwIH61S+ez5Hukp94t/Lo\nMBjuO5InHhi39wgADjHlEQBwYDY2t/JrX76YDz02mWODR+uOwz750GOTeXpmKRfmV+qOAgA0gfII\nADgwn3l2Lq9eX8uf+N4zdUdhH33kbSeTJJ98aqbmJABAMyiPAIAD888+90omhnvzQ49P1h2FffTQ\nxFAenRzKJ5+6XHcUAKAJlEcAwIE4f+1G/t0zs/nPnjibI90+ghw2P/r2qXz+pau5trxedxQAYJ/5\n5AYAHIhf+sK5JMmfev/ZmpPQDD/69qlsblX57W+ZPgKAw0Z5BAA03c3NrfyLL5zLh/7/9u49Pq66\nzv/4+zv33Jtrm6ZJmt4oLbSUFqhAKdcqC1JXQKqseAHxAl7WXX8PdlcRdddV0VX5ifJDREEX5bZC\nWZACguVOabn0RkvTpm1SmjRpmntmkpn5/v6YSRtrpklzO5mZ1/PxOI8zc3LmzHvSb885+cz3e84J\nJZqWn+l0HIyBk8pyNTUvoKe2UjwCACDVUDwCAABjbs2WejW2h/Sx0yucjoIxYozRivlT9Py7jeoM\nhZ2OAwAARhHFIwAAMOZ+9WKNKgszdR4Xyk5plywoVSgcZegaAAAphuIRAAAYUxv2HNKbe1v06bOq\n5HYZp+NgDC2uyFfZpAw9+tZ7TkcBAACjiOIRAAAYU796cZdyAx5dsXia01Ewxlwuo0sXlur5dxvV\nzF3XAABIGRSPAADAmKlt7tKTm+v1sTMqleX3OB0H42DlwjKFo1ZPbNrvdBQAADBKKB4BAIAx8/+e\n3ym3y+gTZ1Y6HQXj5MTSHM0uydZqhq4BAJAyKB4BAIAxUd8a1AOv1+nKJeUqzctwOg7GiTFGK0+Z\nqnW7m7WvpdvpOAAAYBRQPAIAAGPijrU7FbVWn18+0+koGGeXLSyTJD32Nr2PAABIBRSPAADAqDvQ\nHtTv1+3Vh08tU3lBptNxMM4qCjO1qGISd10DACBFUDwCAACj7mfPVisctfrCubOcjgKHrFw4Ve/s\nb9M7+9ucjgIAAEaI4hEAABhVNU2duu+1vVp1WrmmF2U5HQcOWXlKmXxul+5/vdbpKAAAYIQoHgEA\ngFH1wzXb5fO49OULZzsdBQ7Kz/JpxfzJeuStfQr2RpyOAwAARoDiEQAAGDVv7j2kxzft13XLZqgk\nJ+B0HDjsqtPK1dLVq6e2NjgdBQAAjADFIwAAMCqiUatbHtuq4hy/rj9nhtNxMAGcNbNIZZMy9ABD\n1wAASGoUjwAAwKh4cEOt3q5t0b/+3Vxl+z1Ox8EE4HIZfWRJuV6sblJtc5fTcQAAwDBRPAIAACPW\n0tWj7z+5XadNz9eHTilzOg4mkCuXTJMx0oPr6X0EAECyongEAABG7LtPvKOWrh5967KTZIxxOg4m\nkKmTMrR8TrEeWF+nSNQ6HQcAAAwDxSMAADAiz25r0APr6/S55TM1b2qu03EwAa06rVz1bUE9u+2A\n01EAAMAwUDwCAADD1trVq5se3qQTJufoyxfOdjoOJqgLT5ysKbkB3fvKbqejAACAYaB4BAAAhu2W\nx7aoubNHP/rIQvk9bqfjYILyuF26+owKvbCjSTsbO5yOAwAAjhPFIwAAMCxrttTrj2/u0w3nzdJJ\nZXlOx8EEt+r0CnndRr99ZY/TUQAAwHGieAQAAI5bc2eP/u2PmzSvNFc3nj/L6ThIAsU5fl1ycqke\n3lCnzlDY6TgAAOA4UDwCAADH7RuPblZrd6/+66qF8ro5ncDQXHPmdLWHwvrjm/ucjgIAAI4DZ3sA\nAOC4/O/G9/T4xv36yoVzNHcKd1fD0C0qn6STynJ17yu7Za11Og4AABgiikcAAGDIGttD+sYjm7Vw\nWp4+e84Mp+MgyRhjdM37puvdhg69uqvZ6TgAAGCIKB4BAIAhsdbq3/64SZ09Ef3oIwvlYbgahuGy\nhVM1KdOre1/Z7XQUAAAwRJz1AQCAIXnkrX16amuD/nnFHM0qyXE6DpJUwOvWVaeV66mtDXqvpdvp\nOAAAYAgoHgEAgEE1tAX1zUe3aHFlvq49m+FqGJmPL62UtVb3vLLb6SgAAGAIKB4BAIBj6huu1hOJ\n6tYrFsjtMk5HQpKblp+pi08u1X2v7VVHKOx0HAAAMAiKRwAA4Jge37Rfz7xzQP900QmaUZztdByk\niOvOrlJ7MKwH19c6HQUAAAyC4hEAAEjoUGePblm9RQum5elTZ013Og5SyKKKfC2uzNfdL9UoErVO\nxwEAAMdA8QgAACT0H0+8o5auXn3vwwu4uxpG3WeWVam2uVtPbal3OgoAADgGzgIBAMCAXtzRpIc2\n1Omzy2do3tRcp+MgBV00b4oqCjJ114s1TkcBAADHMGbFI2PM3caYA8aYzf2WFRhjnjbG7IjP88fq\n/QEAwPD1hKO6+dHNqirK0hfPn+10HKQot8vo02dN14Y9h/TG3kNOxwEAAAmMZc+j30j6wFHLbpL0\nZ2vtbEl/jj8HAAATzD0v79aupk7dfOk8Bbxup+MghV25pFw5AY9+9QK9jwAAmKjGrHhkrX1eUvNR\ni1dKuif++B5JHxqr9wcAAMPT2B7SbX/eofNOKNZ5c0ucjoMUl+X36GNnVOhPm/ertrnL6TgAAGAA\n433No8nW2v3xx/WSJida0RhzvTFmvTFmfWNj4/ikAwAAunXNNnX3RvT1S+c5HQVp4pNnTpfLGP36\npd1ORwEAAANw7ILZ1lorKeF9Wa21d1prl1hrlxQXF49jMgAA0tfGuhY9uKFOnzprumYWZzsdB2mi\nNC9Dly4o1f2v71Vrd6/TcQAAwFHGu3jUYIwplaT4/MA4vz8AAEjAWqv/ePwdFWT69MULuEg2xtd1\ny2aosyei+17b63QUAABwlPEuHq2W9In4409IenSc3x8AACTwwo4mvVbTrC9dMFu5Aa/TcZBmTirL\n09mzinT3SzUK9kacjgMAAPoZs+KRMeb3kl6RdIIxps4Yc62k70m6yBizQ9KF8ecAAMBh1lrduma7\nyiZlaNXp5U7HQZr6/Lkz1dge0v+8sc/pKAAAoB/PWG3YWvvRBD+6YKzeEwAADM+aLfXatK9Vt16x\nQH6P2+k4SFNnzizUgml5uvP5nbrqtHK5XcbpSAAAQA5eMBsAAEwMkajVD596VzOLs/T3i8qcjoM0\nZozR55bP1O6DXXpyc73TcQAAQBzFIwAA0twjb+5T9YEO/dOKE+Rxc2oAZ71//hRVFWXpjrU7Fbs5\nLwAAcBpniAAApLFwJKr/++wOzZ+aq4tPmuJ0HEBul9H158zQpn2teqn6oNNxAACAKB4BAJDWHt+0\nX7sPdumL58+WMVxfBhPDh08tU0mOX3es3el0FAAAIIpHAACkrWjU6vbnqjVncrZWzJvsdBzgML/H\nrU+fXaUXq5u0sa7F6TgAAKQ9ikcAAKSpp99p0LsNHfrCubPk4q5WmGCuPqNCOQEPvY8AAJgAKB4B\nAJCGrI31OqooyNSlC0qdjgP8jZyAVx9fWqk/ba5XTVOn03EAAEhrFI8AAEhDL+xo0sa6Vn3+3Jnc\nYQ0T1qfOqpLX7dKdz9P7CAAAJ3G2CABAGvrZc9WakhvQh08tczoKkFBxjl9XLp6mhzfs04G2oNNx\nAABIWxSPAABIM+tqmrWuplnXnzNDfo/b6TjAMV1/zgyFo1Hd+fwup6MAAJC2KB4BAJBmbn+uWoVZ\nPn309AqnowCDqizM0ocWlel3r+1RY3vI6TgAAKQlikcAAKSRzftatfbdRn367Cpl+Oh1hOTwxfNn\nqycc5dpHAAA4hOIRAABp5Bdrdyrb79E/LK10OgowZFVFWfrQKWX67av0PgIAwAkUjwAASBM1TZ36\n06b9+oellcrL8DodBzguN54/i95HAAA4hOIRAABp4s7nd8rjdunTZ093Ogpw3GYUZx/ufdTUQe8j\nAJ2wmY4AABlpSURBVADGE8UjAADSQENbUA9v2KcrF09TSU7A6TjAsBzpfcSd1wAAGE8UjwAASAN3\nvbBL4WhUnz1nptNRgGGbUZytlaeU6d5XdtP7CACAcUTxCACAFNfS1aP7XturDy6cqorCTKfjACPS\n1/vo9ueqnY4CAEDaoHgEAECKu/eVPersiehzy+l1hOQ3szhbH1lSrt+9ukd7DnY6HQcAgLRA8QgA\ngBTW1RPWr1+q0flzS3Riaa7TcYBR8Y8XzZHH5dKta7Y7HQUAgLRA8QgAgBR2/+u1OtTVqy+cS68j\npI7JuQF9ZlmV/nfjfr1V2+J0HAAAUh7FIwAAUlSwN6I7n9+l06cXaMn0AqfjAKPq+uUzVZTt03ef\neEfWWqfjAACQ0igeAQCQou5/vVb7W4P68oWznY4CjLpsv0dfvnCO1tU06+mtDU7HAQAgpVE8AgAg\nBQV7I7r9uWqdXlWgM2cWOh0HGBOrTivXrJJsfefxrQr2RpyOAwBAyqJ4BABACvrdq3t0oD2kr140\nR8YYp+MAY8Lrduk7K09SbXO3fv5ctdNxAABIWRSPAABIMV09Yd2xdqfOmlWopTPodYTU9r6Zhfr7\nRWW6Y+0u7WrscDoOAAApieIRAAAp5t5X9qipo0dfvWiO01GAcfGvf3ei/F6Xbnp4k6JRLp4NAMBo\no3gEAEAKae3q1R1rd2r5nGItruQOa0gPxTl+ffOD87Vud7PufqnG6TgAAKQcikcAAKSQ257dodbu\nXt108VynowDj6vJTy3ThiZP1gzXbVX2g3ek4AACkFIpHAACkiJqmTt37ym5dtaRcJ5bmOh0HGFfG\nGH33wycpy+fWjfe9qe4e7r4GAMBooXgEAECK+O4T78jndumrK7jWEdJTSU5AP77qFG1vaNc3Ht0s\na7n+EQAAo4HiEQAAKeDprQ16emuDbjh/lkpyAk7HARxz7gkl+uJ5s/TQhjrdt26v03EAAEgJFI8A\nAEhyHaGwbn50s06YnKPPLJvhdBzAcV++cI6WzynWzY9u0XPbDzgdBwCApEfxCACAJPfDNdtV3xbU\nf15+srxuDu2A22V0+9Wn6oTJObrhv9/QxroWpyMBAJDUOMMEACCJvVTdpHte2a1rllbq1Ip8p+MA\nE0a236PffOo05Wf69PFfraOABADACFA8AgAgSR3sCOkf739LM4uzddPFJzodB5hwSnID+sP1S5UT\n8OjqX76mDXsOOR0JAICkRPEIAIAkFI1afe2hjWrp7tVtqxYpw+d2OhIwIZUXZOr+z75Phdk+feyX\nr+rxjfudjgQAQNKheAQAQBL6wZrtenbbAX39khM1b2qu03GACa1sUoYe/vyZOrksTzfc94Z+/PS7\nikSt07EAAEgaFI8AAEgyD6yv1R1rd+rqMyr08aWVTscBkkJhtl+/u+4MXX7qNP30zzt09V2vqr41\n6HQsAACSAsUjAACSyJOb6/Wv/7NJy2YX6ZbL5ssY43QkIGkEvG798MoF+uGVC7WxrlUX//R5Pb21\nwelYAABMeBSPAABIEk9urteN972hk6fl6edXnyqvm8M4cLyMMbpi8TQ99sWzVZqXoc/cu15fe/Bt\ntQd7nY4GAMCExVknAABJ4Hev7tEN8cLRvZ8+XTkBr9ORgKQ2szhbj9xwlm44b6YefqNOH/jJC3q5\nusnpWAAATEgUjwAAmMB6wlHdsnqLvv7IZi2fU6zfXnsGhSNglPg8Ln3t/XP10OfPlN/j0sfuek23\nrN6i7p6I09EAAJhQKB4BADBB7Wrs0OW/eFm/eXm3rj27Sr+8Zomy/R6nYwEp59SKfD3+pWX65JnT\n9ZuXd+uS217QG3sPOR0LAIAJg+IRAAATTE84qp//pVqX3Paiag916Y5/WKxvXDpPbhcXxwbGSobP\nrVsum6/7rjtDoXBUV/ziZd26Zpt6wlGnowEA4DhjrXU6w6CWLFli169f73QMAADG3MvVTfrGo5u1\ns7FTK+ZN1rdWzldpXobTsYC00hbs1Xce26oHN9Rp7pQc/fiqU3Riaa7TsQAAGHXGmA3W2iWDrkfx\nCAAA522qa9UPn9qute82qqIgU7dcNk/nz53sdCwgrT29tUH/8j+b1Nrdo69cOEefPWeGPNzlEACQ\nQoZaPOLCCQAAOGhHQ7v+6+l39afN9ZqU6dVNF8/VJ8+croDX7XQ0IO1dNG+yFlfm6+uPbNKta7br\nmXca9KMrF2pGcbbT0QAAGFf0PAIAwAGb6lp1x9qdemLzfmV63bp22Qxdt6xKudxJDZhwrLVa/fZ7\nuvnRLQqFI7rpA3N1zfumy8V1yAAASY6eRwAATDDWWr2y86B+sXanXtjRpBy/R59bPlOfWTZDBVk+\np+MBSMAYo5WnlGnpjEL9n4c26pbHtuqprQ269cq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      "text/plain": [
       "<matplotlib.figure.Figure at 0x113c08210>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (20,10))\n",
    "spy.log_return.plot.density()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11601ca90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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kp6Ra95FJIZYUzIAVKivHl5+f1GrmmNi1mvMqO9BSCFpLwaQOSwpmwAqVd2yN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\n84ElAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1160538d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "de_2 = pd.Series(np.random.normal(0,2,10000),name = 'μ = 0, σ = 2')\n",
    "de_3 = pd.Series(np.random.normal(0,3,10000),name = 'μ = 0, σ = 3')\n",
    "de_0 = pd.Series(np.random.normal(0,0.5,10000), name ='μ = 0, σ = 0.5')\n",
    "mu_1 = pd.Series(np.random.normal(-2,1,10000),name ='μ = -2, σ = 1')\n",
    "df = pd.concat([de_2,de_3,de_0,mu_1],axis = 1)\n",
    "plt.figure(figsize=(20,10))\n",
    "df.plot.density()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
